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konstantin123 [22]
2 years ago
14

There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, repl

ace it, and then randomly select another card. What is the probability that the first card is an odd number and the second card is less than 5?
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
8 0

Answer:

20% or 1/5.

Step-by-step explanation:

Out of ten cards, the chance of getting an odd number is of course 50% or 1/2 since half of them are odd and the other half are even. Then the chance of getting a card less than 5, or 1, 2, 3, or 4 is 40% or 2/5. Multiply these together and half of 2/5 is 1/5 so your answer is 1/5 or 20%.

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An angle measures 10° less than the measure of its supplementary angle. What is the measure of each angle?​
spin [16.1K]

Answer:

The two angles are 85 and 95 degrees

Step-by-step explanation:

Supplementary angles add to 180

Let x be one angle

The supplement is 10 less,  ( x-10)

They add to 180

x+ ( x-10) = 180

2x -10 = 180

Add 10 to each side

2x-10+10 =180-10

2x= 190

Divide by 2

2x/2 =190/2

x=95

The other angle is 95-10 = 85

The two angles are 85 and 95 degrees

8 0
3 years ago
The times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a
Kitty [74]

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

8 0
3 years ago
On a cell phone mapping app, 5 cm represents 150 feet. Which equation represents this relationship?
denis-greek [22]

Answer:

y=150x

Step-by-step explanation:

let me know if its wrong

7 0
3 years ago
What is the solution of the system? Use substitution.
nekit [7.7K]
Substituting y=6x+2 into equation 3y - 18x =12 looks like:

3(6x + 2) - 18x = 12
18x + 6 - 18x = 12  distributive property left side
6 = 12  simplifying the left side

We now see a contradiction:   6 does not equal 12  What this tells us is that there is no solutions to this equation.  So choice 'C' ...
8 0
3 years ago
Read 2 more answers
Please see the photo. It's not 4 or 6.
Verdich [7]

Answer:

x = 9

Step-by-step explanation:

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

5(x - 6 + 5) = 4(x - 3 + 4)

5(x - 1) = 4(x + 1) ← distribute parenthesis on both sides

5x - 5 = 4x + 4 ( subtract 4x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

4 0
3 years ago
Read 2 more answers
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